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Finding the Fourth Proportional to 4,659.12, 6,949.80 and 3,970.08

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Solution

The fourth proportional to 4,659.12, 6,949.80 and 3,970.08 is: 5,921.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.12 : 6,949.80 = 3,970.08 : x
  2. Step 2: Convert to fraction form
    4,659.12/6,949.80 = 3,970.08/x
  3. Step 3: Cross multiply
    4,659.12x = 6,949.80 × 3,970.08
  4. Step 4: Simplify right side
    4,659.12x = 27,591,261.98
  5. Step 5: Solve for x
    x = 27,591,261.98/4,659.12
  6. Step 6: Final answer
    x = 5,921.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.